Problem 11 · 2018 Math Kangaroo
Medium
Spatial & Visual Reasoning
area-fractionarea-decomposition
Show answer
Answer: E
Show hints
Hint 1 of 2
Each square is cut by its lines into equal small pieces - count how many are black.
Still stuck? Show hint 2 →
Hint 2 of 2
Express every black region as the same fraction of the whole square; they turn out equal.
Show solution
Approach: compare black area as a fraction of each identical square
- Every square is divided by its lines into equal small pieces of the same size.
- Counting the black pieces in each design, every square has black pieces adding to exactly half its area.
- So the black area is the same in all of them: the total black area is always equally big.
Mark:
· log in to save